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Branch Stabilisation for the Components of Hurwitz Moduli Spaces of Galois Covers

Branch Stabilisation for the Components of Hurwitz Moduli Spaces of Galois Covers

We consider components of Hurwitz moduli space of G-Galois covers and set up a powerful algebraic framework to study the set of corresponding equivalence classes of monodromy maps. Within that we study geometric stabilisation by various G-covers branched over the disc. Our results addresses the problem to decide equivalence and …